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4 years ago

Find the x- and y-intercepts of 3x + 6y = 18

1 answer:

3 0

In order to find the x and y intercepts of an equation, you can plug in 0 for the opposite variable. Let us solve for the intercepts now.

<span>x-intercept

</span>We are going to plug in 0 for y and the solve for x:

$3x+6y=18$
$3x+6(0)=18$
$3x=18$
$x=6$

So now we know the x-intercept of the line is: (6, 0)
<span>
y-intercept</span>

We are going to plug in 0 for x and solve for y:

$3x+6y=18$
$3(0)+6y=18$
$6y=18$
$y=3$

So now we know that the y-intercept for the line is: (0, 3)

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A square with a side length of 8 inches would have an area of 8*8= 64 inches^2. If the area is multiplied by 36, the new area = 64*36 = 2304 inches^2. To find the new side length of the square, you take the square root of 2304, which equals 48. The side length of the square becomes 48 inches.

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3 years ago

Suppose your annual starting salary is $55,183. After working for a few years, you start to get yearly raises. If you get a 0.6%

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Answer:

The salary after all the increment = $62899.0879

Step-by-step explanation:

It is given that starting annual salary = $55183

There is given that there are there are three time increment of 0.6 %

So salary after 0.6% increment of 3 times = $55183\times (1+\frac{0.6}{100})^3$ = $56182.2656

After that there is other increment of 1.9 % that is 6 times

So salary after this increment = $56182.2656\times (1+\frac{1.9}{100})^6=62899.0879$

So the salary after all the increment = $62899.0879

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3 years ago

Which table shows a proportional relationship?

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Answer:

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Step-by-step explanation:

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4 years ago

Mrs. Martinez had $150.55 in her checking account. She wrote checks for the following amounts: $45.76, $35.00, and $79.82. What

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Step-by-step explanation:

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Read 2 more answers

A recent study asked U. S. Adults to name 10 historic events that occurred during their lifetime that have had the greatest impa

Nadusha1986 [10]

Using the z-distribution, as we are working with a proportion, it is found that the 99% confidence interval for the proportion of all U. S. Adults who would include the 9/11 attacks on their list of 10 historic events is (0.7458, 0.7942). It means that we are 99% sure that the true proportion for all U.S. adults is between these two bounds.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, the parameters are:

$z = 2.575, n = 2000, \pi = 0.77$

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 2.575\sqrt{\frac{0.77(0.23)}{2000}} = 0.7458$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 2.575\sqrt{\frac{0.77(0.23)}{2000}} = 0.7942$

The 99% confidence interval for the proportion of all U. S. Adults who would include the 9/11 attacks on their list of 10 historic events is (0.7458, 0.7942). It means that we are 99% sure that the true proportion for all U.S. adults is between these two bounds.

More can be learned about the z-distribution at brainly.com/question/25890103

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3 years ago